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Finding the Fourth Proportional to 18,614.36, 27,921.70 and 5,466.96

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Solution

The fourth proportional to 18,614.36, 27,921.70 and 5,466.96 is: 8,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.36 : 27,921.70 = 5,466.96 : x
  2. Step 2: Convert to fraction form
    18,614.36/27,921.70 = 5,466.96/x
  3. Step 3: Cross multiply
    18,614.36x = 27,921.70 × 5,466.96
  4. Step 4: Simplify right side
    18,614.36x = 152,646,817.03
  5. Step 5: Solve for x
    x = 152,646,817.03/18,614.36
  6. Step 6: Final answer
    x = 8,200.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.